Answer:
1. Anything to do with the same slope but different a B (Ex. y=1/3x+1 and y=1/3x-8)
2. No solutions
Explanation:
1. Because the two lines are parallel, when no intersection between two lines happens, there will need to be a change in the B but the same slope. Remember the formula for an equation is y=mx+b. The m stands for the slope. With parallel lines, slopes are the same. If lines were to never intersect, you would have to change the b to a different number so that both lines could keep going at the same time, but never intersect.
2. Remember, solutions only happen when the two lines intersect. Infinite solutions happen when the lines are the same. One solution happens when two lines only have one point where they intersect. No solutions happen when the two lines don't intersect at all. Based off the graph given, there are no intersections so, there will be no solutions.